## obtuse angle

### An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. In other words, it is an angle that is wider or more open than a right angle, which measures exactly 90 degrees.

To better understand what an obtuse angle looks like, imagine a clock face where the hour hand is pointing to one of the numbers between 9 and 12. The angle formed between the hour hand and the 12 o’clock position would be obtuse.

Here are a few key points to remember about obtuse angles:

1. Measure: An obtuse angle always measures between 90 and 180 degrees.

2. Shape: An obtuse angle has an opening that is greater than that of a right angle but less than a straight angle (which measures 180 degrees).

3. Vertex: The vertex of an obtuse angle is the point where the two rays forming the angle meet. It is the common endpoint of the two lines.

4. Supplementary angles: Two angles are said to be supplementary if their sum is 180 degrees. Therefore, an obtuse angle is always paired with another angle (either acute or obtuse) to form a straight angle.

To measure an angle and determine if it is obtuse, you can use a protractor. Place the protractor with its center on the vertex of the angle and align one of its sides with one of the rays forming the angle. Read the measurement on the protractor and check if it falls between 90 and 180 degrees. If it does, then the angle is obtuse.

Understanding obtuse angles is important in geometry and trigonometry as it helps in identifying and solving various geometric problems involving shapes, lines, and angles.

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